lib C fun strtoll(s : UInt8*, p : UInt8**, b : Int32) : Int64 end class String def to_i64 C.strtoll(self, nil, 10) end end struct ModInt @@MOD = 1_000_000_007i64 def self.mod @@MOD end def self.zero ModInt.new(0) end def initialize(n) @n = n.to_i64 % @@MOD end getter n : Int64 def + : self self end def - : self ModInt.new(n != 0 ? @@MOD - @n : 0) end def +(m) ModInt.new(@n + m.to_i64 % @@MOD) end def -(m) ModInt.new(@n - m.to_i64 % @@MOD) end def *(m) ModInt.new(@n * m.to_i64 % @@MOD) end def /(m) raise DivisionByZeroError.new if m == 0 a, b, u, v = m.to_i64, @@MOD, 1i64, 0i64 while b != 0 t = a // b a -= t * b a, b = b, a u -= t * v u, v = v, u end ModInt.new(@n * u) end def //(m) self / m end def **(m : Int) t, res = self, ModInt.new(1) while m > 0 res *= t if m.odd? t *= t m >>= 1 end res end def ==(m) @n == m.to_i64 end def !=(m) @n != m.to_i64 end def succ self + 1 end def pred self - 1 end def to_i64 : Int64 @n end delegate to_s, to: @n delegate inspect, to: @n end struct Int def to_mint : ModInt ModInt.new(self) end end class String def to_mint : ModInt ModInt.new(self) end end n, k, m = read_line.split.map(&.to_i64) x = ModInt.zero (1..n).reduce(1.to_mint) { |acc, i| if k % i == 0 && i <= n x += acc * n.to_mint ** (n - i) end acc * (n - i) } if m == 1 puts x else puts (n.to_mint**n - x) / (n - 1) end